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If x is odd, all EXCEPT which one of the following must be o

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GRE Prep Club Legend
GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1856 [0], given: 397

If x is odd, all EXCEPT which one of the following must be o [#permalink] New post 30 Aug 2018, 16:23
Expert's post
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Question Stats:

62% (01:25) correct 37% (00:22) wrong based on 16 sessions
If x is odd, all EXCEPT which one of the following must be odd?

(A) \(x^2 + 4x + 6\)
(B) \(x^3 + 5x + 3\)
(C) \(x^4 + 6x + 7\)
(D) \(x^5 + 7x + 1\)
(E) \(x^6 + 8x + 4\)
[Reveal] Spoiler: OA

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Intern
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Joined: 10 Aug 2018
Posts: 29
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Kudos [?]: 6 [0], given: 2

Re: If x is odd, all EXCEPT which one of the following must be o [#permalink] New post 31 Aug 2018, 21:56
Please explain how the answer is C?
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1856 [0], given: 397

Re: If x is odd, all EXCEPT which one of the following must be o [#permalink] New post 01 Sep 2018, 15:08
Expert's post
Explanation

For even and odd questions, you can either think it out logically or plug in a number. Since one choice requires raising the number to the 6th power, pick something small! Plug in x = 1:

(A) \(x^2 + 4x + 6 = 1 + 4 + 6 = 11\)
(B) \(x^3 + 5x + 3 = 1 + 5 + 3 = 9\)
(C) \(x^4 + 6x + 7 = 1 + 6 + 7 = 14\)
(D) \(x^5 + 7x + 1 = 1 + 7 + 1 = 9\)
(E) \(x^6 + 8x + 4 = 1 + 8 + 4 = 13\)
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Sandy
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Re: If x is odd, all EXCEPT which one of the following must be o   [#permalink] 01 Sep 2018, 15:08
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If x is odd, all EXCEPT which one of the following must be o

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